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2007, 2007(Special): 927-937. doi: 10.3934/proc.2007.2007.927

Solvability for phase field systems of Penrose-Fife type associated with $p$-laplacian diffusions

Ken Shirakawa 1,

1. 

Department of Applied Mathematics, Faculty of Engineering, Kobe University, 1-1 Rokkodai, Nada, Kobe, 657-8501

Received  September 2006 Revised  February 2007 Published  September 2007

In this paper, we deal with systems of nonlinear evolution equations, which are mathematical models of phase transitions, classified as "Penrose-Fife type". In the presented models, $p$-Laplacians, with 1 $<= p$ < 2, are adopted to describe the diffusions in exchanges. As the main conclusions, some theorems, concerned with the existence and the uniqueness of solutions of our systems, will be proved, under appropriate assumptions.
Keywords: Penrose-Fife type, p-Laplacian diffusions., Phase field systems.
Mathematics Subject Classification: Primary: 35K55; Secondary: 82B2.
Citation: Ken Shirakawa. Solvability for phase field systems of Penrose-Fife type associated with $p$-laplacian diffusions. Conference Publications, 2007, 2007 (Special) : 927-937. doi: 10.3934/proc.2007.2007.927
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